320518304150625 has 495 divisors, whose sum is σ = 700525962468783. Its totient is φ = 146174618520000.

The previous prime is 320518304150593. The next prime is 320518304150633. The reversal of 320518304150625 is 526051403815023.

It is a happy number.

The square root of 320518304150625 is 17903025.

It is a perfect power (a square), and thus also a powerful number.

320518304150625 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 1 + 8 + 3 + 0 + 4 + 15 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 305948479252689 + 14569824897936 = 17491383^2 + 3817044^2 .

It is not a de Polignac number, because 320518304150625 - 2⁵ = 320518304150593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 494 ways as a sum of consecutive naturals, for example, 761326137915 + ... + 761326138335.

Almost surely, 2^{320518304150625} is an apocalyptic number.

320518304150625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

320518304150625 is the 17903025-th square number.

320518304150625 is the 8951513-rd centered octagonal number.

It is an amenable number.

320518304150625 is an abundant number, since it is smaller than the sum of its proper divisors (380007658318158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320518304150625 is an frugal number, since it uses more digits than its factorization.

320518304150625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 320518304150625 its reverse (526051403815023), we get a palindrome (846569707965648).

The spelling of 320518304150625 in words is "three hundred twenty trillion, five hundred eighteen billion, three hundred four million, one hundred fifty thousand, six hundred twenty-five".